The solid cylinder of length 80 cm and mass $M$ has a radius of 20 cm. Calculate the density of the material used if the moment of inertia of the cylinder about an axis $CD$ parallel to $AB$ as shown in figure is $2.7\text{ kg m}^2$.
(1) $1.49 \times 10^2\text{ kg m}^{-3}$
(2) $7.5 \times 10^1\text{ kg m}^{-3}$
(3) $14.9\text{ kg m}^{-3}$
(4) $7.5 \times 10^2\text{ kg m}^{-3}$